Three circles are shown touching and sharing a common tangent. The radii of the two larger circles are given. The challenge is to calculate the value of the radius of the smallest circle....

In this presentation and collection of student worksheets a diagram shows a square and three right angled triangles, with each shape sharing a common side. Some of the lengths are given in surd form, from which students have to find the area of the square.

The solution involves the use of Pythagoras’ theorem...

Act 1

A photograph is shown of an individual ticket, placed...

This activity, from the Institution of Engineering and Technology (IET), requires students to design a magnetic tool holder for a robot surgeon.

It is intended that students will:
• Appreciate the potential of...

This activity, from the Institution of Engineering and Technology (IET), requires students to compete to make the strongest electromagnetic tool holder for a surgeon's robotic arm.

It is intended that students will be...

In this resource the time is given for a train to pass a signal. The time is also given for a train to completely pass through a tunnel. It is assumed that the train is travelling at constant speed. The task is to calculate the length of the train.

Solving the problem requires the use of the formula for...

This interactive resource, produced by the University of Leicester, is designed to enable students to explore transformations of functions including translations, stretches, reflection in the axes and rotations.

The first activity uses function notation to explore translations parallel to the x axis and...

This interactive resource, produced by the University of Leicester, is designed to enable students to explore transformations of shapes including translation by a vector, stretches, rotations around a point, reflection in the axes and reflections in the lines y=x and y=-x.

The first activity draws a...

This lesson develops the concept of transformations. In particular students will:

• Describe in words the transformation that maps an object to a transformed image
• Given a geometric figure and a transformation, draw the transformed figure
• Describe transformations as algebraic functions...

The opposite corners of a trapezium are joined, creating four triangles within the trapezium. The areas of the triangles formed using the parallel sides as is given. The task is to calculate the...

A triangle is split into two parts by drawing a line from one side to the base of the triangle. The ratio in which the sides are split is shown for each of the sides connected by the line. The task is to find what multiple of the smaller triangle is the larger triangle.

The ‘something in common’ between each...

A circle is drawn that is tangent to the three sides of the triangle. The two constituent lengths of the hypotenuse are given and the challenge is to calculate the area of the triangle. When...

This resource contains a diagram made from a circle, four semi-circular arcs and a rectangle with dimensions given in surd form. The challenge is to find the total area of a given shaded area.

The student worksheets each contain different dimensions for the diagram, but the solutions all have something in...

This resource looks at the key features, advantages and disadvantages of tidal power as an energy source. Students identify the features of a landscape which will maximise the effectiveness of tidal power, considering the ideal shape of the location, whether the machinery will interfere with other activities,...

This resource from the IET Faraday programme, supported by MEI and Tomorrow's Engineers, looks at the trigonometry and scale drawing involved in the construction of water wheels.

"A water wheel is a machine for converting the energy of flowing or falling water into useful forms of...